Semantic Scholar Open Access 2023 57 sitasi

Dynamic nature of analytical soliton solutions of the (1+1)-dimensional Mikhailov-Novikov-Wang equation using the unified approach

Ajay Kumar S Kumar

Abstrak

Abstract In this work, we investigate the dynamical study of the (1+1)-dimensional Mikhailov-Novikov-Wang (MNW) equation via the unified method is investigated. This technique is used to obtain the soliton solutions, including the trigonometric function solution, the periodic function solution, the exponential function solution, the elliptic function solution, and other soliton-form solutions. All the obtained results in this work utilizing an effective unified method help gain a better understanding of the physical meaning and behavior of the equation, thus sheding light on the significance of investigating diverse nonlinear wave phenomena in physics and ocean engineering. These derived results are entirely new and never repeated in the previous works done by the other authors. For the interest of visual presentation and physical illustrations, we plot the graphical demonstrations of some of the specified solutions in 3-dimensional, contour, and 2-dimensional plots by using Mathematica software. Consequently, we observe that the acquired solutions of the MNW equations are anti-bell-shape, kink wave solution, solitary wave, periodic solution, multisoliton, and different types of soliton solutions.

Penulis (2)

A

Ajay Kumar

S

S Kumar

Format Sitasi

Kumar, A., Kumar, S. (2023). Dynamic nature of analytical soliton solutions of the (1+1)-dimensional Mikhailov-Novikov-Wang equation using the unified approach. https://doi.org/10.2478/ijmce-2023-0018

Akses Cepat

Lihat di Sumber doi.org/10.2478/ijmce-2023-0018
Informasi Jurnal
Tahun Terbit
2023
Bahasa
en
Total Sitasi
57×
Sumber Database
Semantic Scholar
DOI
10.2478/ijmce-2023-0018
Akses
Open Access ✓